Curated Video
Facts about Linear Functions
In this math video we will learn facts about linear functions. We will discuss the characteristics of a linear function in slope-intercept form. We will review that slope-intercept form is y=mx+b. We will discover that m represents the...
Curated Video
Graphing Linear Equations Using a Table
In this video, we demystify graphing linear equations using a clear and straightforward method. By following step-by-step instructions, viewers learn how to create a table, choose values for X, solve for Y, plot ordered pairs, and...
Curated Video
Real World System of Linear Equations to Determine Cost | 8.EE.C.8
In this math video we will write and solve a real world system of linear equations to determine cost. We will be presented with a real world situation where two friends are shopping the same store for a game system and video games. We...
Brian McLogan
3 things you must know before graphing linear equations
Before you get started graphing linear equations it is important to have some basic understanding down pat. So in this video we will cover the three most important items you need to know before starting graphing linear equations.
Curated Video
Equation of a Line
"Equation of a Line" will decipher the mysteries of understanding the equations of lines.
Curated Video
Solve Systems Algebraically
You will solve for the point of intersection of two linear equation problems with two variables.
Curated Video
Solve the System of Linear Equations Using Substitution
In this video, the teacher explains how to solve a system of linear equations using the method of substitution. The viewer is given a question to solve and is guided through the steps to find the solution using drag and drop activities...
Curated Video
Identifying Linear and Nonlinear Equations
In this video, the teacher explains how to determine whether an equation is linear or nonlinear by identifying the exponent of the variable. The teacher provides five equations and asks the viewer to determine which ones are linear and...
APMonitor
Solve Linear Equations with Python
Linear equations such as A*x=b are solved with NumPy in Python. This tutorial demonstrates how to create a matrix (A) and vector (b) as NumPy arrays and solve the set of equations with linalg.solve
Why U
Algebra 51 - Three Variable Systems in the Real World - Problem 3
Algebra 49, 50 and 51 present three real-world problems which can be solved using systems of three linear equations in three variables. This chapter shows how the parameters of an equation for a circle can be determined, given three...
Curated Video
Substituting Values to Determine Solutions in Linear Equations
In this video, the teacher explains how to determine if a point is a solution to a pair of linear equations by substituting values. The teacher demonstrates the process using examples and emphasizes the importance of checking both...
Why U
Algebra 60 - Parametric Equations with Gauss-Jordan Elimination
This chapter introduces the concept of “pivot columns” and shows how they can be used to determine whether a system of linear equations has a single unique solution, no solutions, or infinitely many solutions, simply by looking at the...
Curated Video
Solving Systems of Equations by Elimination
In this lesson, students will learn how to solve systems of equations using the elimination method. They will understand the concept of multipliers and how they can be used to simplify equations and eliminate variables. By the end of the...
Curated Video
Finding Solutions to Linear Equations Using Tables
In this video, the teacher explains how to solve a pair of equations with two variables by using tables. They demonstrate how to find multiple solutions for each equation and then determine the common solutions between the two equations....
Curated Video
Exploring Vertical Translations of Linear Equations
In this lesson, students will learn about vertical translations of linear equations. They will explore how these translations affect the graph and algebraic representation of the equations. By understanding the similarities and...
Why U
Algebra 48 - A Geometrical View of the Elimination Method
When the elimination method is used to solve a system of linear equations, viewing the geometrical changes that happen to the system during this process can give insight into the mechanisms which underlie the logic behind the algebraic...
Curated Video
Efficient Ways to Check Solutions to Linear Equations
In this lesson, students will learn how to efficiently check their solutions to linear equations. They will explore different methods, such as substituting the solution back into the original equation, solving the equation using...
Curated Video
Exploring Vertical Scaling in Linear Equations
In this lesson, students will explore the similarities and differences between two functions, by examining their intercepts, slopes, and algebraic representations. Through visual and algebraic analysis, students will understand how...
Why U
Algebra 62 - Gauss-Jordan Elimination with Traffic Flow
In this lecture we examine one application that can be solved by a system of linear equations with four or more variables, modeling and predicting the flow of traffic through a network of streets. Examples are given showing how the model...
APMonitor
Data Science 🐍 Solve Equations
Equations are at the root of data science. It is what turns data into actionable information by developing mathematical expressions that mimic physical systems. There are two primary ways to solve equations. The first method is a numeric...
APMonitor
MATLAB Nonlinear Optimization with fmincon
This step-by-step tutorial demonstrates fmincon solver on a nonlinear optimization problem with one equality and one inequality constraint. Visit http://apmonitor.com/che263/index.php/Main/MatlabOptimization for source code.
Why U
Algebra 61 - Gauss-Jordan Elimination with Inconsistent Systems
When Gauss-Jordan elimination transforms a matrix representing an inconsistent system of linear equations to reduced row-echelon form, a matrix row containing all zero coefficient entries and a non-zero constant entry is produced,...
Curated Video
Solving Pairs of Linear Equations Visually with Visual Models
In this video, you will learn how to solve pairs of linear equations visually by using visual models. The teacher explains how drawings can help in solving equations and demonstrates this through examples.
Curated Video
Solving Pairs of Linear Equations Using Patterns
In this video, students learn how to solve pairs of linear equations by using patterns. They explore the concept of solutions to linear systems and how they can be represented graphically. By analyzing the slopes and y-intercepts of the...